13812064 has 48 divisors (see below), whose sum is σ = 31334688. Its totient is φ = 5870592.

The previous prime is 13812061. The next prime is 13812067. The reversal of 13812064 is 46021831.

It is an interprime number because it is at equal distance from previous prime (13812061) and next prime (13812067).

It is a super-2 number, since 2×13812064² = 381546223880192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13812061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43972 + ... + 44284.

It is an arithmetic number, because the mean of its divisors is an integer number (652806).

Almost surely, 2^13812064 is an apocalyptic number.

13812064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667344).

13812064 is an abundant number, since it is smaller than the sum of its proper divisors (17522624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13812064 is a wasteful number, since it uses less digits than its factorization.

13812064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13812064 is about 3716.4585292991. The cubic root of 13812064 is about 239.9309060363.

Adding to 13812064 its reverse (46021831), we get a palindrome (59833895).

The spelling of 13812064 in words is "thirteen million, eight hundred twelve thousand, sixty-four".